Flip-Trees: Fault-Tolerant Graphs with Wide Containers

  • Authors:
  • F. J. Meyer;D. K. Pradhan

  • Affiliations:
  • -;-

  • Venue:
  • IEEE Transactions on Computers - Fault-Tolerant Computing
  • Year:
  • 1988

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Abstract

A family of graphs is introduced with (d(d-1)/sup l/-2)/(d-2) nodes, where d is the degree of every node and l is any positive integer. The graphs have diameter 2l-1. In the presence of at most d-1 faults, the diameter increases to at most 2l+1. Furthermore, there exists a container (set of node-disjoint paths) of width d and length at most 2l+1 between every pair of nodes. The graphs are compared to those that have been proposed previously with respect to diameter, fault-tolerant diameter, container width, ease of routing, ease of fault-tolerant routing, and extensibility.